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Finding the Fourth Proportional to 457,950.18, 632,046.89 and 254,066.78

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Solution

The fourth proportional to 457,950.18, 632,046.89 and 254,066.78 is: 350,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,950.18 : 632,046.89 = 254,066.78 : x
  2. Step 2: Convert to fraction form
    457,950.18/632,046.89 = 254,066.78/x
  3. Step 3: Cross multiply
    457,950.18x = 632,046.89 × 254,066.78
  4. Step 4: Simplify right side
    457,950.18x = 160,582,113,720.75
  5. Step 5: Solve for x
    x = 160,582,113,720.75/457,950.18
  6. Step 6: Final answer
    x = 350,654.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.